一种新的更快的四步迭代算法的收敛性分析与应用

Open Journal of Mathematical Analysis Pub Date : 2021-12-24 DOI:10.30538/psrp-oma2021.0097

U. Udofia, A. Ofem, D. Igbokwe

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引用次数: 0

摘要

本文介绍了一种四步迭代算法，该算法的收敛速度比文献中一些领先的迭代算法快。我们证明了我们的迭代方案是\(T\) -稳定的和数据相关的。作为一个应用，我们使用新的迭代算法求非线性积分方程的唯一解。我们的结果是对现有文献中几个著名结果的概括和改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Convergence analysis for a new faster four steps iterative algorithm with an application

In this paper, we introduce a four step iterative algorithm which converges faster than some leading iterative algorithms in the literature. We show that our new iterative scheme is \(T\)-stable and data dependent. As an application, we use the new iterative algorithm to find the unique solution of a nonlinear integral equation. Our results are generalizations and improvements of several well known results in the existing literature.

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来源期刊

Open Journal of Mathematical Analysis

自引率

0.00%

发文量

审稿时长

8 weeks